10 points - What is the 8th term of the sequence? 8, 24, 72, 216...
1 answer:
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The phrase has two parts:
Five times the sum of a number and eleven, divided by three times the sum of the number and eight
Let the number be x. Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:
5(x + 11)
Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:
3(x + 8)
So, the overall expression will be:
Five times the sum of a number and eleven, divided by three times the sum of the number and eight
Let the number be x. Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:
5(x + 11)
Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:
3(x + 8)
So, the overall expression will be:
Answer:
10. 105
11. 75
12. 75
13. 105
14. 75
15. 105
Step-by-step explanation:
Notice that 75? Anything that is adjacent (has a common vertex like 75º) to the vertex is a linear pair. here is an example below:
Since there is only THAT 75, you must find the supplementary angle (adds up to 180). and remember in order to get a supplementary angle it has to be a STRAIGHT LINE and HAS TO EQUAL 180. (4, 1 in your image)
180 - 75 = 105.
and also it's also a linear pair so it reflects too which makes things a lot easier!
So, if 4 is 75 and it reflects, then that means 2 is also 75. 1 is 105 and it reflects so 3 has to be 105. and the same for the rest of the numbers.
Hope this makes sense
~R3VO
